Recent content by Avi1995

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    How Long Does It Take for a Particle to Travel Through an Earth-Crossing Tunnel?

    Understood. But the little doubt that remains in my mind is that particle was projected with a speed in the tunnel, can the equations of SHM be used?
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    Eliminate T to Show SHM of a Rectangular Plate

    Err...I mean it was exactly same :P. In my mind it does make little sense, as the mass is symmetrically suspended. Since time period of pendulum was independent of mass this should be also.
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    How Long Does It Take for a Particle to Travel Through an Earth-Crossing Tunnel?

    But there is no change in potential energy from one end to other end as both are on surface. So shouldn't K.E. remain same?
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    How Long Does It Take for a Particle to Travel Through an Earth-Crossing Tunnel?

    But outside the surface the field is non linear, so it won't be a shm.
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    How Long Does It Take for a Particle to Travel Through an Earth-Crossing Tunnel?

    Problem: Assume that a tunnel is dug across the earth(radius=R) passing through its centre. Find the time a particle takes to cover the length of tunnel if it is projected into the tunnel with a speed of \sqrt{gR} 2. Homework Equations : Basic SHM equations: 1.F=-kx 2.T=(2*pi)/(omega)...
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    Eliminate T to Show SHM of a Rectangular Plate

    Thank you sir! I finally solved it! Solution: After I sketched it I found what I was doing wrong. Taking forces normal to string, -mgsin(theta)=ma a=-g(theta) theta=x/L(approx) a=-g/L T=2*pi*sqrt(L/g)
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    Eliminate T to Show SHM of a Rectangular Plate

    Q:A rectangular plate of sides a and b is supended from a ceiling by two parallel strings of length L each(Fig). The Separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute SHM. Find the time period...
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    How to Determine the Velocity of a Triangular Block in a Frictionless System?

    Thank you so much, Sir. I was finally able to solve the problem using your method. Although I won't be able to post the solution as it is quite long but the method is same. PS: Can anyone tell me some good FREE Mathematics Software, so that i am able to write equations easily and graph some...
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    How to Determine the Velocity of a Triangular Block in a Frictionless System?

    But the problem says when it reaches the bottom end, isn't it before it slides off?
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    How to Determine the Velocity of a Triangular Block in a Frictionless System?

    Homework Statement A Block of mass m is placed on a triangular block of mass M(as if Fig).Assuming Frictionless surfaces find the velocity of the triangular block when the smaller Block reaches the bottom end. 2. Relevant concepts Centre of Mass,Linear Momentum and probably...
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    How can a rowing crew be arranged with specific roles for each member?

    Ques:A boat is to be manned by eight men, of whom 2 can only row on bow side and 1 can only row on stroke side,in how ways can the crew be arranged? Basic formulae of combinatorics(Permutations and combinations) Well I do not have good knowledge of boats, but I used the following...
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    How to Determine Max Extension of a Spring in a Frictionless System?

    OOps, I didnt type it.But, The problem is asking the max extension of the spring, but this is half of answer given in book.
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    How to Determine Max Extension of a Spring in a Frictionless System?

    The situation is shown :- All surfaces are frictionless. I am trying to find the max extension of the spring as the force is applied. Spring is massless. F=maI tried drawing FBDs for block A and B:- F-kx=Ma(from fbd of A) kx=ma(from fbd of B) , we get x=Fm/k(M+m) Is this correct?? Also can...
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